Long awaited, and building on a huge tower of algorithmic functionality
Symbolic and numeric eigenvalue problems: Helmholtz, Schrödinger, etc.
Full support for random matrices and their statistical properties
Add, divide, etc. time series, with regular or irregular sampling
Feet and inches, dollars and cents: handle mixed-radix numbers
FromPolarCoordinates etc. for instant conversion to and from polar coordinates
RulePlot automatically displays rules and evolutions for cellular automata etc. in many formats
See inside 3D regions with six kinds of slice plots
Instant triangular, square, etc. numbers
Automatic pipeline from a 3D plot of functions or data, to a printed 3D object
Courier is finally gone, even on the desktop, replaced by an elegant sans-serif code font
Spellchecking with extended dictionaries as you type in 25+ languages (desktop version)
Want to know possible option values, or entity properties? Just start typing...
New message display lets you immediately find out where a message was generated
In a notebook, Ctrl + 8 now immediately makes an initialization cell, indicated with a gray background
Examples from web documentation are live when they're copied, even on the desktop
Make a list of n numbers from 0 to 1, etc.
Put patterns anywhere in associations, with correct orderless matching etc.
Get the n largest, smallest, etc. elements in a list
Create a graph by iteratively nesting a function
Map functions that take blocks rather than single elements
Full sentence parsing into trees of clauses, phrases, etc.
Annotate code in real time with function explanations in a dozen languages
Use TravelDistance to find actual driving distances, not just geodesic distances
Sequences of border maps for the histories of 1,000+ countries
Core support for instantly accessible large-scale external data
The largest five countries, the densest metal, etc., all symbolically specified
Use a dozen different methods to get data into databins in the cloud
Any shape, any depth, automatically formatted—with scrolling and drilldown
Static and dynamic highlighting of points, curves and areas in images
ImageMesh converts from any binary 2D or 3D image to the corresponding mesh region
Automatically extract dates, times, etc. from Exif, XMP, IPTC
Machine learning-based clustering for data, images, text, etc., making trees, dendrograms, etc.
Immediately pull in material from Wikipedia articles
Many more domains of knowledge covered
Forecasts as well as historical weather data
Flexible channel framework for communication between anything, into notebooks, etc.
CloudSubmit to submit anything
Store data directly in binary form
Call code, APIs and functions with local or cloud kernels right from the command line